To find the equation of the normal to a curve at a point
You need to follow 4 steps:- First differentiate the equation of the curve to get the slope of the tangent at each point.
- Evaluate the differential at the point required to get the slope of the tangent at that point.
- Now calculate the slope of the normal at that point. If the slope of the tangent is t, then the slope of the normal is -1/t.
- Finally, the equation of the line is y=-x/t + c, substitute the values of x and y to find c.
